Search a number
120413 is a prime number

120413 has 2 divisors, whose sum is σ = 120414. Its totient is φ = 120412.

The previous prime is 120401. The next prime is 120427. The reversal of 120413 is 314021.

Adding to 120413 its reverse (314021), we get a palindrome (434434).

It is a happy number.

120413 is nontrivially palindromic in base 4.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120409 + 4 = 347^2 + 2^2 .

It is an emirp because it is prime and its reverse (314021) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 120413 - 24 = 120397 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 120394 and 120403.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (120473) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 60206 + 60207.

It is an arithmetic number, because the mean of its divisors is an integer number (60207).

2120413 is an apocalyptic number.

It is an amenable number.

120413 is a deficient number, since it is larger than the sum of its proper divisors (1).

120413 is an equidigital number, since it uses as much as digits as its factorization.

120413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 11.

The square root of 120413 is about 347.0057636409. The cubic root of 120413 is about 49.3807625598.

The spelling of 120413 in words is "one hundred twenty thousand, four hundred thirteen".